{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MSEIFZH7YHU54USWR2FMPIZI4E","short_pith_number":"pith:MSEIFZH7","schema_version":"1.0","canonical_sha256":"648882e4ffc1e9de52568e8ac7a328e1317646b0995d6870ffef98b5e7a9fbed","source":{"kind":"arxiv","id":"1610.01265","version":1},"attestation_state":"computed","paper":{"title":"Advancing parabolic operators in thermodynamic MHD models: Explicit super time-stepping versus implicit schemes with Krylov solvers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Jon A. Linker, Roberto Lionello, Ronald M. Caplan, Zoran Mikic","submitted_at":"2016-10-05T03:32:11Z","abstract_excerpt":"We explore the performance and advantages/disadvantages of using unconditionally stable explicit super time-stepping (STS) algorithms versus implicit schemes with Krylov solvers for integrating parabolic operators in thermodynamic MHD models of the solar corona. Specifically, we compare the second-order Runge-Kutta Legendre (RKL2) STS method with the implicit backward Euler scheme computed using the preconditioned conjugate gradient (PCG) solver with both a point-Jacobi and a non-overlapping domain decomposition ILU0 preconditioner. The algorithms are used to integrate anisotropic Spitzer ther"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.01265","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2016-10-05T03:32:11Z","cross_cats_sorted":[],"title_canon_sha256":"d25cb517b91898717a08c353d97abf1afa0c63389a4c51d5bec77fbb4c8787c9","abstract_canon_sha256":"e0bc073c5a1bf6bf5a82bd7d0c3e8b4610b989d95e6b86a143d8494c88c70552"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:38.960995Z","signature_b64":"4WtlRIUbtkZpFSpac+t59o6uQqThYFgUPyDokNRolm5LeUnMNzwBNbG6MgX2TwxmiXXQ6u8rqlMuE1HCxqzdAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"648882e4ffc1e9de52568e8ac7a328e1317646b0995d6870ffef98b5e7a9fbed","last_reissued_at":"2026-05-18T00:41:38.960421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:38.960421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Advancing parabolic operators in thermodynamic MHD models: Explicit super time-stepping versus implicit schemes with Krylov solvers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CE","authors_text":"Jon A. Linker, Roberto Lionello, Ronald M. Caplan, Zoran Mikic","submitted_at":"2016-10-05T03:32:11Z","abstract_excerpt":"We explore the performance and advantages/disadvantages of using unconditionally stable explicit super time-stepping (STS) algorithms versus implicit schemes with Krylov solvers for integrating parabolic operators in thermodynamic MHD models of the solar corona. Specifically, we compare the second-order Runge-Kutta Legendre (RKL2) STS method with the implicit backward Euler scheme computed using the preconditioned conjugate gradient (PCG) solver with both a point-Jacobi and a non-overlapping domain decomposition ILU0 preconditioner. The algorithms are used to integrate anisotropic Spitzer ther"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.01265","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.01265","created_at":"2026-05-18T00:41:38.960498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.01265v1","created_at":"2026-05-18T00:41:38.960498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.01265","created_at":"2026-05-18T00:41:38.960498+00:00"},{"alias_kind":"pith_short_12","alias_value":"MSEIFZH7YHU5","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MSEIFZH7YHU54USW","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MSEIFZH7","created_at":"2026-05-18T12:30:32.724797+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E","json":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E.json","graph_json":"https://pith.science/api/pith-number/MSEIFZH7YHU54USWR2FMPIZI4E/graph.json","events_json":"https://pith.science/api/pith-number/MSEIFZH7YHU54USWR2FMPIZI4E/events.json","paper":"https://pith.science/paper/MSEIFZH7"},"agent_actions":{"view_html":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E","download_json":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E.json","view_paper":"https://pith.science/paper/MSEIFZH7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.01265&json=true","fetch_graph":"https://pith.science/api/pith-number/MSEIFZH7YHU54USWR2FMPIZI4E/graph.json","fetch_events":"https://pith.science/api/pith-number/MSEIFZH7YHU54USWR2FMPIZI4E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E/action/storage_attestation","attest_author":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E/action/author_attestation","sign_citation":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E/action/citation_signature","submit_replication":"https://pith.science/pith/MSEIFZH7YHU54USWR2FMPIZI4E/action/replication_record"}},"created_at":"2026-05-18T00:41:38.960498+00:00","updated_at":"2026-05-18T00:41:38.960498+00:00"}